Aptitude and Reasoning Questions

Q:

If x + y = 3, then what is the value of x3 + y3 + 9xy?

A) 15 B) 81
C) 27 D) 9
 
Answer & Explanation Answer: C) 27

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Filed Under: Simplification
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Q:

The difference between simple and compound interests compounded annually on a certain sum of money for 2 years at 4% per annum is Rs. 1. The sum (in Rs.) is:

A) 620 B) 630
C) 640 D) 625
 
Answer & Explanation Answer: D) 625

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Filed Under: Simple Interest
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Q:

If 2cosAsinB = x, then the value of x is?

A) sin(A+B) + sin(A­-B) B) cos(A+B) + cos(A­-B)
C) sin(A+B) ­- sin(A-­B) D) cos(A­-B) -­ cos(A+B)
 
Answer & Explanation Answer: C) sin(A+B) ­- sin(A-­B)

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Q:

A boat is sailing towards a lighthouse of height 20√3 m at a certain speed. The angle of elevation of the top of the lighthouse changes from 30° to 60° in 10 seconds. What is the time taken (in seconds) by the boat to reach the lighthouse from its initial position?

A) 10 B) 15
C) 20 D) 60
 
Answer & Explanation Answer: B) 15

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Q:

In a triangle ABC, AD is angle bisector of ∠A and AB : AC = 3 : 4. If the area of triangle ABC is 350 cm2, then what is the area (in cm2) of triangle ABD?

A) 150 B) 200
C) 210 D) 240
 
Answer & Explanation Answer: A) 150

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Filed Under: Volume and Surface Area
Exam Prep: Bank Exams

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Q:

A person goes from point N to P and comes back. His average speed for the whole journey is 60 km/hr. If his speed while going from N to P is 40 km/hr, then what will be the speed of the person (in km/hr) while coming back from P to N?

A) 80 B) 100
C) 120 D) 140
 
Answer & Explanation Answer: C) 120

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Filed Under: Time and Distance
Exam Prep: Bank Exams

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Q:

ABCD is a cyclic quadrilateral DBA=50° and ADE=33°, then the measurement of BCD is

A) 83° B) 80°
C) 75° D) 60°
 
Answer & Explanation Answer: A) 83°

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Q:

In a triangle PQR, the side QR is extended to S. ∠QPR = 72° and ∠PRS = 110°, then the value of ∠PQR is

A) 38° B) 32°
C) 25° D) 29°
 
Answer & Explanation Answer: A) 38°

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